The Emergence Machine

Line

abstract · Mathematics · Level 4 · E0

E0Spacetime

Each concept here is mapped to its prerequisites — the ideas you'd need first to understand it — all the way down to four foundations: Space, Time, Energy, Pattern. Click any prerequisite to drill down, or scroll for the chain graph.

Trace. Question. Emerge.

Emergence definition

A line emerges as an infinite extension of a series of connected points in space, which are defined by their spatial relationships and patterns of quantity, forming a mathematical structure with two points.

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Wiktionary senses

External reference — all senses of the word “line” on Wiktionary. This atlas concept maps to only the slice of meaning relevant to the prerequisite graph.

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Source: Wiktionary — “line”. Content available under CC BY-SA 4.0.

Historical origin

Origin word
linea
Origin language
la

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL4L3L2L1L0LineMathematical Str…FormOperationPointStructureActionMatterQuantityEnergyPatternSpaceTimeE1 concrete → E14 abstract

Neighborhood

Direct prerequisites above, concepts that depend on this one below.

used byprerequisitesAngleL5AxisL5BorderL5InkL5OutlineL5LineL4PointL2Mathematical Str…L3E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Point L2 (requires)
    A line extends infinitely through a series of connected points in space.
  • Mathematical Structure L3 (requires)
    A line is a mathematical structure extending infinitely in both directions.

Used by